I know this is not really responsive to your original post (the above posters were quite helpful, so I don't have much to add there), but I'm curious about what your intended use it. Why do you want to take images of players, well, playing the game, and move those images to a new place? The only use that comes to my (admittedly small and limited) mind is to get candid 'action' shots of individual players, which then could be sold or given to that player's family. (We did that for Little League, so each player could have some nice images that focused on that person, swinging the bat, fielding a ground ball, etc..)
If this is your actual goal (assuming that you are connected at all to a team, or, you are known to that team), the easier way to do that is to bring a white (or other color --depending on the colors of that team's uniform) bedsheet to the field, and have one player after another "pose" in front of it, doing the things like catching, swinging the bat, etc. You then extract these photos and composite them with whatever background you want for your final images.
Obviously, these will no longer be authentic shots. But it's clear that you are not looking for authenticity . . . you are looking to make nice photos/prints.
josh
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http://www.pbase.com/santamonica 
